159904800 has 288 divisors, whose sum is σ = 631834560. Its totient is φ = 38707200.

The previous prime is 159904777. The next prime is 159904841. The reversal of 159904800 is 8409951.

159904800 = 213³ + 214³ + ... + 227³.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237264 + ... + 237936.

It is an arithmetic number, because the mean of its divisors is an integer number (2193870).

Almost surely, 2^159904800 is an apocalyptic number.

159904800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315917280).

159904800 is an abundant number, since it is smaller than the sum of its proper divisors (471929760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

159904800 is a wasteful number, since it uses less digits than its factorization.

159904800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 159904800 is about 12645.3469703287. The cubic root of 159904800 is about 542.7758300582.

The spelling of 159904800 in words is "one hundred fifty-nine million, nine hundred four thousand, eight hundred".